6 of 7 Question B2 a) Red light of vacuum wavelength 650 nm is travelling in non-magnetic glass with refractive index ng 1.50, then meets an interface with air at an angle of incidence of 75 degrees, and total internal reflection occurs. Calculate the tangential component of the wavevector KG in glass; state two conditions on the transmitted wavevector кA on the air side; and show that this leads to an evanes- cent wave with amplitude decaying exponentially away from the boundary. Calculate the distance over which the E-field amplitude drops by a factor of 1/e.

Sunlight is scattered by air molecules. Calculate the ratio of the scattered light intensity of blue color (400 nm) to that of red color (700 nm).

A ray of blue light, randomly polarized, travelling in air (n=1.0) is incident on the surface of a transparent material (n = 1.6) at an angle of 45°. Calculate the ratio of intensities for reflected s- and p-polarized light, Is/Ip. (10)

Red light of vacuum wavelength 650 nm is travelling in non-magnetic glass with refractiveindex nG = 1.50, then meets an interface with air at an angle of incidence of 75 degrees,and total internal reflection occurs.Calculate the tangential component of the wavevector kG in glass; state two conditionson the transmitted wavevector kA on the air side; and show that this leads to an evanescent wave with amplitude decaying exponentially away from the boundary. Calculate thedistance over which the E-field amplitude drops by a factor of 1/e.